a. The critical load for buckling is inversely proportional 3.00 feet long and 2.00 inches in diameter buckles under a load of 4.00 tons, find the particular equation. proportional to the square of the column's length, and directly diameter. Assuming laboratory data shows that a column to the fourth power of the column's
a. The critical load for buckling is inversely proportional 3.00 feet long and 2.00 inches in diameter buckles under a load of 4.00 tons, find the particular equation. proportional to the square of the column's length, and directly diameter. Assuming laboratory data shows that a column to the fourth power of the column's
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Bridge
14. When over-loaded, bridge columns can fail in two different ways: buckling and crushing.
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Column Buckling Crushing
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a. The critical load for buckling is inversely proportional to the square of the column's length, and directly
proportional to the fourth power of the column's diameter. Assuming laboratory data shows that a column
3.00 feet long and 2.00 inches in diameter buckles under a load of 4.00 tons, find the particular equation.
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Answer
b. Use the particular equation you just found to predict the load that will buckle a column 20.0 feet in length
and 20.0 inches in diameter.
Answer
c. The load that can crush a column varies directly with the square of the diameter, and does not vary with
the length. Find the particular equation for this relationship based on laboratory data showing a 2.00 inch
diameter column will crash under a load of five tons. Use that equation to calculate the load which will crash a
column 20.0 inches in diameter.
Answer
S
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